**Author details**

Hedi Sakli1,2\* and Wyssem Fathallah1

1 MACS Research Laboratory, National Engineering School of Gabes, Gabes University, Gabes, Tunisia

2 EITA Consulting, Montesson France

\*Address all correspondence to: hedi.s@eitaconsulting.fr

© 2020 The Author(s). Licensee IntechOpen. This chapter is distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/ by/3.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

**4. Conclusion**

**Figure 10.**

**78**

**Figure 9.**

**Figure 8.**

*Geometry of the circular waveguide with 12 discontinuities.*

*Reflection coefficient of the periodic structure with 12 discontinuities.*

*The cutoff frequencies for the first five TM modes versus* εrz *with* εrr ¼ �*4:4,* μ<sup>r</sup><sup>θ</sup> ¼ *1.*

*Electromagnetic Propagation and Waveguides in Photonics and Microwave Engineering*

Rigorous analysis of propagating modes in circular waveguides filled with anisotropic metamaterial has been developed. It was demonstrated that the
